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4466963820078 = 23237157227188197
BaseRepresentation
bin100000100000000101111…
…0010101010111000101110
3120211001000101111120221100
41001000023302222320232
51041141320214220303
613300032253143530
7640504345663224
oct101001362527056
916731011446840
104466963820078
111472479694131
1260188918aba6
13265304840046
141162b8bb4b14
157b2e16758a3
hex4100bcaae2e

4466963820078 has 96 divisors (see below), whose sum is σ = 10047433522464. Its totient is φ = 1433168246016.

The previous prime is 4466963820071. The next prime is 4466963820089. The reversal of 4466963820078 is 8700283696644.

4466963820078 is a `hidden beast` number, since 4 + 466 + 96 + 3 + 82 + 0 + 0 + 7 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4466963819997 and 4466963820024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4466963820071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23641476 + ... + 23829672.

It is an arithmetic number, because the mean of its divisors is an integer number (104660765859).

Almost surely, 24466963820078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4466963820078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023716761232).

4466963820078 is an abundant number, since it is smaller than the sum of its proper divisors (5580469702386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4466963820078 is a wasteful number, since it uses less digits than its factorization.

4466963820078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188626 (or 188623 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 4466963820078 in words is "four trillion, four hundred sixty-six billion, nine hundred sixty-three million, eight hundred twenty thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 37 74 111 157 222 227 314 333 454 471 666 681 942 1362 1413 2043 2826 4086 5809 8399 11618 16798 17427 25197 34854 35639 50394 52281 71278 75591 104562 106917 151182 188197 213834 320751 376394 564591 641502 1129182 1318643 1693773 2637286 3387546 3955929 6963289 7911858 11867787 13926578 20889867 23735574 29546929 41779734 42720719 59093858 62669601 85441438 88640787 125339202 128162157 177281574 256324314 265922361 384486471 531844722 768972942 1093236373 1580666603 2186472746 3161333206 3279709119 4741999809 6559418238 6707152883 9483999618 9839127357 13414305766 14225999427 19678254714 20121458649 28451998854 40242917298 60364375947 120728751894 248164656671 496329313342 744493970013 1488987940026 2233481910039 4466963820078